Zw. Qian, NONLINEAR ACOUSTICS OF BOUNDED SOLID-REFLECTION AND REFRACTION OF 2ND-ORDER BULK WAVES .1. P-INCIDENCE, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 36(12), 1993, pp. 1468-1478
In the light of the theory of second-order potentials in nonlinear aco
ustics proposed by the author, this paper investigates the second-orde
r harmonics resulting from an incident bulk wave in a solid with a pla
ne boundary when the P, SV and SH waves are incident. It is shown that
several bulb waves of the second-order harmonics occur in solid media
besides second-order surface waves. Some of the waves are accumulated
and some waves propagate in the direction parallel to the boundary su
rface. In order to obtain enough expressions for all the third-order e
lasticity constants, an SH-wave incidence is necessary in addition to
the P and SV wave ones. It is pointed out that the contribution of the
nonaccumulative waves and the waves resulting from the boundary surfa
ce are very important for measuring the nonlinear wave fields.